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Finding the Fourth Proportional to 333.65, 501.17 and 256.77

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Solution

The fourth proportional to 333.65, 501.17 and 256.77 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.65 : 501.17 = 256.77 : x
  2. Step 2: Convert to fraction form
    333.65/501.17 = 256.77/x
  3. Step 3: Cross multiply
    333.65x = 501.17 × 256.77
  4. Step 4: Simplify right side
    333.65x = 128,684.14
  5. Step 5: Solve for x
    x = 128,684.14/333.65
  6. Step 6: Final answer
    x = 385.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.